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katen-ka-za [31]

3 years ago

7

Is 4(3m + 4) = 2(6m + 8) a solution or no solution?

2 answers:

Mars2501 [29]3 years ago

6 0

Answer: both result in ( 12m + 16 ) so yes this is a solution

sineoko [7]3 years ago

3 0

Answer: It is an infinite solution, so no solution.

Step by step explanation:
4(3m+4)=2(6m+8)
First you have to distribute the 4 to 3m and 4 which would give you
12m+16=2(6m+8)
Then you have to distribute the 2 to 6m and 8 which would then give you
12m+16=12m+16
That cannot be solved therefore it is a no solution(it can also be called an infinite solution because the same problem is on both sides of the equal sign)

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What is the inverse of f(x)=(x-5)^2 for x greater or equal to 5 where function g is the inverse of function f

koban [17]

Answer:

$y=\sqrt{x}+5$

Step-by-step explanation:

The inverse of a function, is the function or rule formed by reflecting the line over y=x. This means essentially that all (x,y) values from the original function switch to (y,x).

(x,y)--->(y,x) in the new function.

If the function has points (-3,4) and (5,-2) then the inverse has points (4,-3) and (-2, 5).

We can find the equation of the inverse by switching x and y in the equation and solving for y.

This means that $y=(x-5)^2$ becomes $x=(y-5)^2$ . We now solve for y through inverse operations.

$x=(y-5)^2$

$x=(y-5)^2\\\sqrt{x} =\sqrt{(y-5)^2} \\\sqrt{x} =y-5\\\sqrt{x} +5=y$

6 0

3 years ago

How many points of intersection are there between the graphs of the hyperbola and ellipse?

N76 [4]

The point of intersection is the point where two or more functions meet.

The graphs of the hyperbola and ellipse have 0 point of intersection

The given parameters are:

$\mathbf{3x^2 - 4y^2 + 4x - 8y + 4 = 0}$

$\mathbf{3x^2 + y^2 + 4x - 3y + 4 = 0}$

To determine the points of intersection, we simply equate both equations.

So, we have:

$\mathbf{3x^2 + y^2 + 4x - 3y + 4 = 3x^2 - 4y^2 + 4x - 8y + 4 }$

Cancel out the common terms

$\mathbf{y^2 - 3y = - 4y^2 - 8y }$

Collect like terms

$\mathbf{y^2 +4y^2= 3y - 8y }$

$\mathbf{5y^2= - 5y }$

Divide through by 5

$\mathbf{y^2= - y}$

Divide through by y

$\mathbf{y= -1}$

<em>The system of equation does not give room to calculate the x-coordinate at the x-axis.</em>

<em />

Hence, the graphs of the hyperbola and ellipse have <em>0 point of intersection</em>

Read more about points of intersection at:

brainly.com/question/13373561

4 0

3 years ago

What is the equation of the parabola in vertex form with vertex (2,-4) and directrix y=-6

Pachacha [2.7K]

Answer:

$y=\dfrac{1}{8}(x-2)^2-4$

Step-by-step explanation:

The directrix y=-6 is parallel to the x axes, so parabola has equation of the form

$(x-x_0)^2=2px(y-y_0),$

where $(x_0,y_0)$ is the vertex of parabola and p is parabola's parameter.

By the definition, $\frac{p}{2}$ is the distance from the vertex to the directrix, so

$\dfrac{p}{2}=2\Rightarrow p=4$

Hence, the equation of parabola is

$(x-2)^2=8(y+4)$

See attached diagram for the graph of parabola and its directrix.

In vertex form this equation is

$y=\dfrac{1}{8}(x-2)^2-4$

8 0

4 years ago

100=6e12.77x Solve for x

weeeeeb [17]

X=0.480135, hope this helps

6 0

3 years ago

There are 132 eighth-grade students at Hoover Middle School. If there are 6 eighth-grade teachers, how many students are there p

Bad White [126]

Students/teachers
132/6 = 22
Solution: B

4 0

3 years ago